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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 047, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.047 (Mi sigma724) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Mutations of Laurent polynomials and flat families with toric fibers

Nathan Owen Ilten

Department of Mathematics, University of California, Berkeley CA 94720, USA
Full-text PDF (334 kB) Citations (14)
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DOI: https://doi.org/10.3842/SIGMA.2012.047
Abstract: We give a general criterion for two toric varieties to appear as fibers in a flat family over $\mathbb P^1$. We apply this to show that certain birational transformations mapping a Laurent polynomial to another Laurent polynomial correspond to deformations between the associated toric varieties.
Keywords: toric varieties, mirror symmetry, deformations, Newton polyhedra.
Received: May 21, 2012; in final form July 25, 2012; Published online July 28, 2012
Bibliographic databases:
Document Type: Article
MSC: 14M25; 14D06; 53D37
Language: English
Citation: Nathan Owen Ilten, “Mutations of Laurent polynomials and flat families with toric fibers”, SIGMA, 8 (2012), 047, 7 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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